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<div class="title">opennurbs_curve.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//              </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">//   Definition of virtual parametric curve</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#if !defined(OPENNURBS_CURVE_INC_)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#define OPENNURBS_CURVE_INC_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___curve.html">ON_Curve</a>;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___plane.html">ON_Plane</a>;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___arc.html">ON_Arc</a>;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>;</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">class </span>ON_CurveTree;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160; </div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160; </div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="class_o_n___mesh_curve_parameters.html">   37</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___mesh_curve_parameters.html">ON_MeshCurveParameters</a></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;{</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  <a class="code" href="class_o_n___mesh_curve_parameters.html">ON_MeshCurveParameters</a>();</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="comment">// If main_seg_count &lt;= 0, then both these parameters are ignored.</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="comment">// If main_seg_count &gt; 0, then sub_seg_count must be &gt;= 1.  In this</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  <span class="comment">// case the curve will be broken into main_seg_count equally spaced</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <span class="comment">// chords. If needed, each of these chords can be split into as many</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  <span class="comment">// sub_seg_count sub-parts if the subdivision is necessary for the</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  <span class="comment">// mesh to meet the other meshing constraints.  In particular, if</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="comment">// sub_seg_count = 0, then the curve is broken into main_seg_count</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="comment">// pieces and no further testing is performed.</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  <span class="keywordtype">int</span> m_main_seg_count; </div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  <span class="keywordtype">int</span> m_sub_seg_count;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160; </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <span class="keywordtype">int</span> m_reserved1;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  <span class="keywordtype">int</span> m_reserved2;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  <span class="comment">// Maximum angle (in radians) between unit tangents at adjacent</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="comment">// vertices.</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  <span class="keywordtype">double</span> m_max_ang_radians;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  <span class="comment">// Maximum permitted value of </span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  <span class="comment">// distance chord midpoint to curve) / (length of chord)</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  <span class="keywordtype">double</span> m_max_chr;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  <span class="comment">// If max_aspect &lt; 1.0, the parameter is ignored. </span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="comment">// If 1 &lt;= max_aspect &lt; sqrt(2), it is treated as if </span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  <span class="comment">// max_aspect = sqrt(2).</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  <span class="comment">// This parameter controls the maximum permitted value of</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  <span class="comment">// (length of longest chord) / (length of shortest chord)</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  <span class="keywordtype">double</span> m_max_aspect;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160; </div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  <span class="comment">// If tolerance = 0, the parameter is ignored.</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  <span class="comment">// This parameter controls the maximum permitted value of the</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  <span class="comment">// distance from the curve to the mesh.  </span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  <span class="keywordtype">double</span> m_tolerance;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160; </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;  <span class="comment">// If m_min_edge_length = 0, the parameter is ignored.</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <span class="comment">// This parameter controls the minimum permitted edge length.</span></div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  <span class="keywordtype">double</span> m_min_edge_length;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  </div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <span class="comment">// If max_edge_length = 0, the parameter is ignored.</span></div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="comment">// This parameter controls the maximum permitted edge length.</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  <span class="keywordtype">double</span> m_max_edge_length;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="keywordtype">double</span> m_reserved3;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  <span class="keywordtype">double</span> m_reserved4;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;};</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="class_o_n___curve.html">   88</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___curve.html">ON_Curve</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___geometry.html">ON_Geometry</a></div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;{</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="comment">// pure virtual class for curve objects</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160; </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  <span class="comment">// Any object derived from ON_Curve should have a</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  <span class="comment">//   ON_OBJECT_DECLARE(ON_...);</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  <span class="comment">// as the last line of its class definition and a</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="comment">//   ON_OBJECT_IMPLEMENT( ON_..., ON_baseclass );</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  <span class="comment">// in a .cpp file.</span></div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  <span class="comment">// See the definition of ON_Object for details.</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  ON_OBJECT_DECLARE(<a class="code" href="class_o_n___curve.html">ON_Curve</a>);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160; </div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="comment">// virtual ON_Object::DestroyRuntimeCache override</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <span class="keywordtype">void</span> DestroyRuntimeCache( <span class="keywordtype">bool</span> bDelete = <span class="keyword">true</span> );</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <a class="code" href="class_o_n___curve.html">ON_Curve</a>();</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <a class="code" href="class_o_n___curve.html">ON_Curve</a>(<span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp;);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp;);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="keyword">virtual</span> ~<a class="code" href="class_o_n___curve.html">ON_Curve</a>();</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160; </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  <span class="comment">// virtual ON_Object::SizeOf override</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SizeOf() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160; </div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  <span class="comment">// virtual ON_Geometry override</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="keywordtype">bool</span> EvaluatePoint( <span class="keyword">const</span> <span class="keyword">class</span> <a class="code" href="class_o_n___obj_ref.html">ON_ObjRef</a>&amp; objref, <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; P ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160; </div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">    Get a duplicate of the curve.</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="comment">    A duplicate of the curve.  </span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="comment">    The caller must delete the returned curve.</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="comment">    For non-ON_CurveProxy objects, this simply duplicates the curve using</span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="comment">    ON_Object::Duplicate.</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment">    For ON_CurveProxy objects, this duplicates the actual proxy curve </span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">    geometry and, if necessary, trims and reverse the result to that</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment">    the returned curve&#39;s parameterization and locus match the proxy curve&#39;s.</span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  <a class="code" href="class_o_n___curve.html">ON_Curve</a>* DuplicateCurve() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160; </div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  <span class="comment">//   overrides virtual ON_Object::ObjectType.</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  <span class="comment">//   ON::curve_object</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  ON::object_type ObjectType() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160; </div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="comment">    Description:</span></div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="comment">    Get tight bounding box of the curve.</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="comment">    Parameters:</span></div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="comment">        tight_bbox - [in/out] tight bounding box</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="comment">        bGrowBox -[in]  (default=false)         </span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="comment">      If true and the input tight_bbox is valid, then returned</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="comment">      tight_bbox is the union of the input tight_bbox and the </span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="comment">      curve&#39;s tight bounding box.</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="comment">        xform -[in] (default=NULL)</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="comment">      If not NULL, the tight bounding box of the transformed</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="comment">      curve is calculated.  The curve is not modified.</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;<span class="comment">    Returns:</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="comment">    True if the returned tight_bbox is set to a valid </span></div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="comment">    bounding box.</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keywordtype">bool</span> GetTightBoundingBox( </div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, </div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;      <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span>,</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>* xform = 0</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160; </div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  <span class="comment">// curve interface</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160; </div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  <span class="comment">//   Gets domain of the curve</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="comment">//   t0 - [out]</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="comment">//   t1 - [out] domain is [*t0, *t1]</span></div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  ON_BOOL32 GetDomain( <span class="keywordtype">double</span>* t0, <span class="keywordtype">double</span>* t1 ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160; </div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  <span class="comment">//   domain of the curve.</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a> Domain() <span class="keyword">const</span> = 0;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160; </div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="comment">    Set the domain of the curve.</span></div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<span class="comment">    domain - [in] increasing interval</span></div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  <span class="keywordtype">bool</span> SetDomain( <a class="code" href="class_o_n___interval.html">ON_Interval</a> domain );</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160; </div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  <span class="comment">//   Set the domain of the curve</span></div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  <span class="comment">//   t0 - [in]</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  <span class="comment">//   t1 - [in] new domain will be [t0,t1]</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  ON_BOOL32 SetDomain( </div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        <span class="keywordtype">double</span> t0, </div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        <span class="keywordtype">double</span> t1 </div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        );</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160; </div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;<span class="comment">    If this curve is closed, then modify it so that</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;<span class="comment">    the start/end point is at curve parameter t.</span></div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="comment">    t - [in] curve parameter of new start/end point.  The</span></div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="comment">             returned curves domain will start at t.</span></div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  ON_BOOL32 ChangeClosedCurveSeam( </div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;            <span class="keywordtype">double</span> t </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            );</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="comment">    Change the dimension of a curve.</span></div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="comment">    desired_dimension - [in]</span></div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;<span class="comment">    true if the curve&#39;s dimension was already desired_dimension</span></div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="comment">    or if the curve&#39;s dimension was successfully changed to</span></div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="comment">    desired_dimension.</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="keywordtype">bool</span> ChangeDimension(</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;          <span class="keywordtype">int</span> desired_dimension</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;          );</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160; </div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;  <span class="comment">//   Get number of nonempty smooth (c-infinity) spans in curve</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  <span class="comment">//   Number of nonempty smooth (c-infinity) spans.</span></div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  <span class="keywordtype">int</span> SpanCount() <span class="keyword">const</span> = 0;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160; </div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  <span class="comment">//   Get number of parameters of &quot;knots&quot;.</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  <span class="comment">//   knots - [out] an array of length SpanCount()+1 is filled in</span></div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  <span class="comment">//       with the parameters where the curve is not smooth (C-infinity).</span></div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;  ON_BOOL32 GetSpanVector(</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        <span class="keywordtype">double</span>* knots</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;        ) <span class="keyword">const</span> = 0; <span class="comment">// </span></div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160; </div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  <span class="comment">// If t is in the domain of the curve, GetSpanVectorIndex() returns the </span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;  <span class="comment">// span vector index &quot;i&quot; such that span_vector[i] &lt;= t &lt;= span_vector[i+1].</span></div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  <span class="comment">// The &quot;side&quot; parameter determines which span is selected when t is at the</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;  <span class="comment">// end of a span.</span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;  ON_BOOL32 GetSpanVectorIndex(</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        <span class="keywordtype">double</span> t ,               <span class="comment">// [IN] t = evaluation parameter</span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        <span class="keywordtype">int</span> side,                <span class="comment">// [IN] side 0 = default, -1 = from below, +1 = from above</span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        <span class="keywordtype">int</span>* span_vector_index,  <span class="comment">// [OUT] span vector index</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        <a class="code" href="class_o_n___interval.html">ON_Interval</a>* span_domain <span class="comment">// [OUT] domain of the span containing &quot;t&quot;</span></div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160; </div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  <span class="comment">//   Returns maximum algebraic degree of any span</span></div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;  <span class="comment">//   or a good estimate if curve spans are not algebraic.</span></div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;  <span class="comment">//   degree</span></div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;  <span class="keywordtype">int</span> Degree() <span class="keyword">const</span> = 0; </div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160; </div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;  <span class="comment">//   Returns maximum algebraic degree of any span</span></div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;  <span class="comment">//   or a good estimate if curve spans are not algebraic.</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;  <span class="comment">//   degree</span></div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;  ON_BOOL32 GetParameterTolerance( <span class="comment">// returns tminus &lt; tplus: parameters tminus &lt;= s &lt;= tplus</span></div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;         <span class="keywordtype">double</span> t,       <span class="comment">// [IN] t = parameter in domain</span></div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;         <span class="keywordtype">double</span>* tminus, <span class="comment">// [OUT] tminus</span></div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;         <span class="keywordtype">double</span>* tplus   <span class="comment">// [OUT] tplus</span></div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160; </div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  <span class="comment">//   Test a curve to see if the locus if its points is a line segment.</span></div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;  <span class="comment">//   tolerance - [in] // tolerance to use when checking linearity</span></div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;  <span class="comment">//   true if the ends of the curve are farther than tolerance apart</span></div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;  <span class="comment">//   and the maximum distance from any point on the curve to</span></div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  <span class="comment">//   the line segment connecting the curve&#39;s ends is &lt;= tolerance.</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;  ON_BOOL32 IsLinear(</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE </div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160; </div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="comment">    Several types of ON_Curve can have the form of a polyline including</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="comment">    a degree 1 ON_NurbsCurve, an ON_PolylineCurve, and an ON_PolyCurve</span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="comment">    all of whose segments are some form of polyline.  IsPolyline tests</span></div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="comment">    a curve to see if it can be represented as a polyline.</span></div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;<span class="comment">    pline_points - [out] if not NULL and true is returned, then the</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;<span class="comment">        points of the polyline form are returned here.</span></div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;<span class="comment">    t - [out] if not NULL and true is returned, then the parameters of</span></div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="comment">        the polyline points are returned here.</span></div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;<span class="comment">    0        curve is not some form of a polyline</span></div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;<span class="comment">    &gt;=2      number of points in polyline form</span></div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;  <span class="keywordtype">int</span> IsPolyline(</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;        <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_3dPoint&gt;</a>* pline_points = NULL,</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;        <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;double&gt;</a>* pline_t = NULL</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160; </div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;  <span class="comment">//   Test a curve to see if the locus if its points is an arc or circle.</span></div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;  <span class="comment">//   plane - [in] if not NULL, test is performed in this plane</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  <span class="comment">//   arc - [out] if not NULL and true is returned, then arc parameters</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;  <span class="comment">//               are filled in</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;  <span class="comment">//   tolerance - [in] tolerance to use when checking</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;  <span class="comment">//   ON_Arc.m_angle &gt; 0 if curve locus is an arc between</span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  <span class="comment">//   specified points.  If ON_Arc.m_angle is 2.0*ON_PI, then the curve</span></div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;  <span class="comment">//   is a circle.</span></div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;  ON_BOOL32 IsArc(</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;        <a class="code" href="class_o_n___arc.html">ON_Arc</a>* arc = NULL,</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160; </div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;<span class="comment">    t - [in] curve parameter</span></div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;<span class="comment">    plane - [in]</span></div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;<span class="comment">      if not NULL, test is performed in this plane</span></div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;<span class="comment">    arc - [out]</span></div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;<span class="comment">      if not NULL and true is returned, then arc parameters</span></div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;<span class="comment">       are filled in</span></div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;<span class="comment">    tolerance - [in]</span></div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;<span class="comment">      tolerance to use when checking</span></div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;<span class="comment">    t0 - [out]</span></div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;<span class="comment">      if not NULL, and then *t0 is set to the parameter</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;<span class="comment">      at the start of the G2 curve segment that was</span></div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;<span class="comment">      tested.</span></div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;<span class="comment">    t1 - [out]</span></div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;<span class="comment">      if not NULL, and then *t0 is set to the parameter</span></div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="comment">      at the start of the G2 curve segment that was</span></div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;<span class="comment">      tested.</span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;<span class="comment">    True if the paramter t is on a arc segment of the curve.</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;  <span class="keywordtype">bool</span> IsArcAt( </div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;    <span class="keywordtype">double</span> t, </div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = 0,</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;    <a class="code" href="class_o_n___arc.html">ON_Arc</a>* arc = 0,</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;    <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;    <span class="keywordtype">double</span>* t0 = 0, </div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;    <span class="keywordtype">double</span>* t1 = 0</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160; </div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;  <span class="keywordtype">bool</span> IsEllipse(</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;      <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;      <a class="code" href="class_o_n___ellipse.html">ON_Ellipse</a>* ellipse = NULL,</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;      <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160; </div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;  <span class="comment">//   Test a curve to see if it is planar.</span></div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;  <span class="comment">//   plane - [out] if not NULL and true is returned,</span></div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  <span class="comment">//                 the plane parameters are filled in.</span></div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;  <span class="comment">//   tolerance - [in] tolerance to use when checking</span></div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;  <span class="comment">//   true if there is a plane such that the maximum distance from</span></div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;  <span class="comment">//   the curve to the plane is &lt;= tolerance.</span></div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;  ON_BOOL32 IsPlanar(</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;        <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160; </div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;  <span class="comment">//   Test a curve to see if it lies in a specific plane.</span></div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  <span class="comment">//   test_plane - [in]</span></div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;  <span class="comment">//   tolerance - [in] tolerance to use when checking</span></div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;  <span class="comment">//   true if the maximum distance from the curve to the</span></div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;  <span class="comment">//   test_plane is &lt;= tolerance.</span></div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;  ON_BOOL32 IsInPlane(</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>&amp; test_plane,</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;        ) <span class="keyword">const</span> = 0;</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160; </div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;<span class="comment">    Decide if it makes sense to close off this curve by moving </span></div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;<span class="comment">    the endpoint to the start based on start-end gap size and length</span></div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;<span class="comment">    of curve as approximated by chord defined by 6 points.</span></div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;<span class="comment">    tolerance - [in] maximum allowable distance between start and end.</span></div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;<span class="comment">                     if start - end gap is greater than tolerance, returns false</span></div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;<span class="comment">    min_abs_size - [in] if greater than 0.0 and none of the interior sampled</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;<span class="comment">                     points are at least min_abs_size from start, returns false.</span></div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;<span class="comment">    min_rel_size - [in] if greater than 1.0 and chord length is less than </span></div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;<span class="comment">                     min_rel_size*gap, returns false.</span></div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;<span class="comment">    true if start and end points are close enough based on above conditions.</span></div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160; </div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;  <span class="keywordtype">bool</span> IsClosable(</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;        <span class="keywordtype">double</span> tolerance,</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;        <span class="keywordtype">double</span> min_abs_size = 0.0,</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;        <span class="keywordtype">double</span> min_rel_size = 10.0</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160; </div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;  <span class="comment">//   Test a curve to see if it is closed.</span></div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;  <span class="comment">//   true if the curve is closed.</span></div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;  ON_BOOL32 IsClosed() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160; </div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;  <span class="comment">//   Test a curve to see if it is periodic.</span></div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;  <span class="comment">//   true if the curve is closed and at least C2 at the start/end.</span></div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;  ON_BOOL32 IsPeriodic() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160; </div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;<span class="comment">    Search for a derivatitive, tangent, or curvature </span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;<span class="comment">    discontinuity.</span></div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="comment">    c - [in] type of continity to test for.</span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;<span class="comment">    t0 - [in] Search begins at t0. If there is a discontinuity</span></div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;<span class="comment">              at t0, it will be ignored.  This makes it </span></div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;<span class="comment">              possible to repeatedly call GetNextDiscontinuity</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;<span class="comment">              and step through the discontinuities.</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;<span class="comment">    t1 - [in] (t0 != t1)  If there is a discontinuity at t1 is </span></div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;<span class="comment">              will be ingored unless c is a locus discontinuity</span></div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;<span class="comment">              type and t1 is at the start or end of the curve.</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment">    t - [out] if a discontinuity is found, then *t reports the</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment">          parameter at the discontinuity.</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;<span class="comment">    hint - [in/out] if GetNextDiscontinuity will be called </span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="comment">       repeatedly, passing a &quot;hint&quot; with initial value *hint=0</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;<span class="comment">       will increase the speed of the search.       </span></div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;<span class="comment">    dtype - [out] if not NULL, *dtype reports the kind of </span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;<span class="comment">        discontinuity found at *t.  A value of 1 means the first </span></div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;<span class="comment">        derivative or unit tangent was discontinuous.  A value </span></div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;<span class="comment">        of 2 means the second derivative or curvature was </span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="comment">        discontinuous.  A value of 0 means teh curve is not</span></div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;<span class="comment">        closed, a locus discontinuity test was applied, and</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;<span class="comment">        t1 is at the start of end of the curve.</span></div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;<span class="comment">        If &#39;c&#39;, the type of continuity to test for </span></div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;<span class="comment">        is ON::Gsmooth_continuous and the curvature changes </span></div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;<span class="comment">        from curved to 0 or 0 to curved and there is no </span></div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;<span class="comment">        tangency kink dtype is returns 3</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only</span></div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;<span class="comment">        when c is ON::G1_continuous or ON::G2_continuous.  If the</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="comment">        cosine of the angle between two tangent vectors is </span></div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;<span class="comment">        &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used </span></div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;<span class="comment">        only when c is ON::G2_continuous.  If K0 and K1 are </span></div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;<span class="comment">        curvatures evaluated from above and below and </span></div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="comment">        |K0 - K1| &gt; curvature_tolerance, then a curvature </span></div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;<span class="comment">        discontinuity is reported.</span></div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;<span class="comment">    Parametric continuity tests c = (C0_continuous, ..., G2_continuous):</span></div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;<span class="comment">      true if a parametric discontinuity was found strictly </span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;<span class="comment">      between t0 and t1. Note well that all curves are </span></div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;<span class="comment">      parametrically continuous at the ends of their domains.</span></div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="comment">    Locus continuity tests c = (C0_locus_continuous, ...,G2_locus_continuous):</span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;<span class="comment">      true if a locus discontinuity was found strictly between</span></div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="comment">      t0 and t1 or at t1 is the at the end of a curve.</span></div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;<span class="comment">      Note well that all open curves (IsClosed()=false) are locus</span></div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="comment">      discontinuous at the ends of their domains.  All closed </span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;<span class="comment">      curves (IsClosed()=true) are at least C0_locus_continuous at </span></div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;<span class="comment">      the ends of their domains.</span></div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;  <span class="keywordtype">bool</span> GetNextDiscontinuity( </div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;                  ON::continuity c,</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;                  <span class="keywordtype">double</span> t0,</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;                  <span class="keywordtype">double</span> t1,</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;                  <span class="keywordtype">double</span>* t,</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;                  <span class="keywordtype">int</span>* hint=NULL,</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;                  <span class="keywordtype">int</span>* dtype=NULL,</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;                  <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;                  <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;                  ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160; </div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;<span class="comment">    Test continuity at a curve parameter value.</span></div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;<span class="comment">    c - [in] type of continuity to test for. Read ON::continuity</span></div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;<span class="comment">             comments for details.</span></div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;<span class="comment">    t - [in] parameter to test</span></div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;<span class="comment">    hint - [in] evaluation hint</span></div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;<span class="comment">    point_tolerance - [in] if the distance between two points is</span></div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;<span class="comment">        greater than point_tolerance, then the curve is not C0.</span></div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;<span class="comment">    d1_tolerance - [in] if the difference between two first derivatives is</span></div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;<span class="comment">        greater than d1_tolerance, then the curve is not C1.</span></div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;<span class="comment">    d2_tolerance - [in] if the difference between two second derivatives is</span></div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;<span class="comment">        greater than d2_tolerance, then the curve is not C2.</span></div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;<span class="comment">        c is ON::G1_continuous or ON::G2_continuous.  If the cosine</span></div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;<span class="comment">        of the angle between two tangent vectors </span></div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;<span class="comment">        is &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;<span class="comment">        c is ON::G2_continuous or ON::Gsmooth_continuous.  </span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="comment">        ON::G2_continuous:</span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;<span class="comment">          If K0 and K1 are curvatures evaluated</span></div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;<span class="comment">          from above and below and |K0 - K1| &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;<span class="comment">          then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;<span class="comment">        ON::Gsmooth_continuous:</span></div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;<span class="comment">          If K0 and K1 are curvatures evaluated from above and below</span></div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;<span class="comment">          and the angle between K0 and K1 is at least twice angle tolerance</span></div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;<span class="comment">          or ||K0| - |K1|| &gt; (max(|K0|,|K1|) &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;<span class="comment">          then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;<span class="comment">    true if the curve has at least the c type continuity at </span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;<span class="comment">    the parameter t.</span></div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;  <span class="keywordtype">bool</span> IsContinuous(</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;    ON::continuity c,</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;    <span class="keywordtype">double</span> t, </div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;    <span class="keywordtype">int</span>* hint = NULL,</div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;    <span class="keywordtype">double</span> point_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;    <span class="keywordtype">double</span> d1_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;    <span class="keywordtype">double</span> d2_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;    <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;    <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160; </div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160; </div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;  <span class="comment">//   Reverse the direction of the curve.</span></div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  <span class="comment">//   true if curve was reversed.</span></div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;  <span class="comment">//   If reveresed, the domain changes from [a,b] to [-b,-a]</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;  ON_BOOL32 Reverse()=0;</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160; </div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160; </div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;<span class="comment">    Force the curve to start at a specified point.</span></div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;<span class="comment">    start_point - [in]</span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;<span class="comment">    Some end points cannot be moved.  Be sure to check return</span></div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;<span class="comment">    code.</span></div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;<span class="comment">    ON_Curve::SetEndPoint</span></div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;<span class="comment">    ON_Curve::PointAtStart</span></div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;<span class="comment">    ON_Curve::PointAtEnd</span></div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;  ON_BOOL32 SetStartPoint(</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;          <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> start_point</div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;          );</div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160; </div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;<span class="comment">    Force the curve to end at a specified point.</span></div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;<span class="comment">    end_point - [in]</span></div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;<span class="comment">    Some end points cannot be moved.  Be sure to check return</span></div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="comment">    code.</span></div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;<span class="comment">    ON_Curve::SetStartPoint</span></div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;<span class="comment">    ON_Curve::PointAtStart</span></div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="comment">    ON_Curve::PointAtEnd</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;  ON_BOOL32 SetEndPoint(</div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;          <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> end_point</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;          );</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;  </div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;  <span class="comment">//   Evaluate point at a parameter.</span></div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;  <span class="comment">//   Point (location of curve at the parameter t).</span></div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;  <span class="comment">//   No error handling.</span></div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;  <span class="comment">//   ON_Curve::EvPoint</span></div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;  <span class="comment">//   ON_Curve::PointAtStart</span></div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;  <span class="comment">//   ON_Curve::PointAtEnd</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;  <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>  PointAt( </div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;                <span class="keywordtype">double</span> t </div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;                ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160; </div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;  <span class="comment">//   Evaluate point at the start of the curve.</span></div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;  <span class="comment">//   Point (location of the start of the curve.)</span></div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;  <span class="comment">//   No error handling.</span></div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;  <span class="comment">//   ON_Curve::PointAt</span></div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;  <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>  PointAtStart() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160; </div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;  <span class="comment">//   Evaluate point at the end of the curve.</span></div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;  <span class="comment">//   Point (location of the end of the curve.)</span></div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;  <span class="comment">//   No error handling.</span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;  <span class="comment">//   ON_Curve::PointAt</span></div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;  <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>  PointAtEnd() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160; </div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;  <span class="comment">//   Evaluate first derivative at a parameter.</span></div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;  <span class="comment">//   First derivative of the curve at the parameter t.</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;  <span class="comment">//   No error handling.</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;  <span class="comment">//   ON_Curve::Ev1Der</span></div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;  <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a> DerivativeAt(</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;                <span class="keywordtype">double</span> t </div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;                ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160; </div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;  <span class="comment">//   Evaluate unit tangent vector at a parameter.</span></div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;  <span class="comment">//   Unit tangent vector of the curve at the parameter t.</span></div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;  <span class="comment">//   No error handling.</span></div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;  <span class="comment">//   ON_Curve::EvTangent</span></div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;  <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a> TangentAt(</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;                <span class="keywordtype">double</span> t </div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;                ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160; </div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;  <span class="comment">//   Evaluate the curvature vector at a parameter.</span></div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;  <span class="comment">//   curvature vector of the curve at the parameter t.</span></div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;  <span class="comment">//   No error handling.</span></div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;  <span class="comment">//   ON_Curve::EvCurvature</span></div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;  <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a> CurvatureAt(</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;                <span class="keywordtype">double</span> t</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;                ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160; </div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;  <span class="comment">//   Return a 3d frame at a parameter.</span></div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;  <span class="comment">//   plane - [out] the frame is returned here</span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;  <span class="comment">//   ON_Curve::PointAt, ON_Curve::TangentAt,</span></div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;  <span class="comment">//   ON_Curve::Ev1Der, Ev2Der</span></div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;  ON_BOOL32 FrameAt( <span class="keywordtype">double</span> t, <a class="code" href="class_o_n___plane.html">ON_Plane</a>&amp; plane) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160; </div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;  <span class="comment">//   Evaluate point at a parameter with error checking.</span></div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;  <span class="comment">//   point - [out] value of curve at t</span></div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;  <span class="comment">//   side - [in] optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;  <span class="comment">//               =0   default</span></div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;  <span class="comment">//               &lt;0   to evaluate from below, </span></div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;  <span class="comment">//               &gt;0   to evaluate from above</span></div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;  <span class="comment">//   hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;  <span class="comment">//   false if unable to evaluate.</span></div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;  <span class="comment">//   ON_Curve::PointAt</span></div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;  <span class="comment">//   ON_Curve::EvTangent</span></div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;  <span class="comment">//   ON_Curve::Evaluate</span></div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160;  ON_BOOL32 EvPoint(</div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point, </div>
<div class="line"><a name="l00716"></a><span class="lineno">  716</span>&#160;         <span class="keywordtype">int</span> side = 0,</div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;         <span class="keywordtype">int</span>* hint = 0</div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160; </div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;  <span class="comment">//   Evaluate first derivative at a parameter with error checking.</span></div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;  <span class="comment">//   point - [out] value of curve at t</span></div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;  <span class="comment">//   first_derivative - [out] value of first derivative at t</span></div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;  <span class="comment">//   side - [in] optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;  <span class="comment">//               =0   default</span></div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;  <span class="comment">//               &lt;0   to evaluate from below, </span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;  <span class="comment">//               &gt;0   to evaluate from above</span></div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;  <span class="comment">//   hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;  <span class="comment">//   false if unable to evaluate.</span></div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;  <span class="comment">//   ON_Curve::EvPoint</span></div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;  <span class="comment">//   ON_Curve::Ev2Der</span></div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;  <span class="comment">//   ON_Curve::EvTangent</span></div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;  <span class="comment">//   ON_Curve::Evaluate</span></div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;  ON_BOOL32 Ev1Der(</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; first_derivative,</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;         <span class="keywordtype">int</span> side = 0,</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;         <span class="keywordtype">int</span>* hint = 0</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160; </div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;  <span class="comment">//   Evaluate second derivative at a parameter with error checking.</span></div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;  <span class="comment">//   t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;  <span class="comment">//   point - [out] value of curve at t</span></div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;  <span class="comment">//   first_derivative - [out] value of first derivative at t</span></div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;  <span class="comment">//   second_derivative - [out] value of second derivative at t</span></div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;  <span class="comment">//   side - [in] optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;  <span class="comment">//               =0   default</span></div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;  <span class="comment">//               &lt;0   to evaluate from below, </span></div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;  <span class="comment">//               &gt;0   to evaluate from above</span></div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;  <span class="comment">//   hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;  <span class="comment">//   false if unable to evaluate.</span></div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;  <span class="comment">//   ON_Curve::Ev1Der</span></div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;  <span class="comment">//   ON_Curve::EvCurvature</span></div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;  <span class="comment">//   ON_Curve::Evaluate</span></div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;  ON_BOOL32 Ev2Der(</div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; first_derivative,</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; second_derivative,</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;         <span class="keywordtype">int</span> side = 0,</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;         <span class="keywordtype">int</span>* hint = 0</div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160; </div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;<span class="comment">    Evaluate unit tangent at a parameter with error checking.</span></div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;<span class="comment">    t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;<span class="comment">    point - [out] value of curve at t</span></div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;<span class="comment">    tangent - [out] value of unit tangent</span></div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;<span class="comment">    side - [in] optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;<span class="comment">                =0   default</span></div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;<span class="comment">                &lt;0   to evaluate from below, </span></div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;<span class="comment">                &gt;0   to evaluate from above</span></div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;<span class="comment">    hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;<span class="comment">    false if unable to evaluate.</span></div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;<span class="comment">    ON_Curve::TangentAt</span></div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;<span class="comment">    ON_Curve::Ev1Der</span></div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;  ON_BOOL32 EvTangent(</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; tangent,</div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;         <span class="keywordtype">int</span> side = 0,</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160;         <span class="keywordtype">int</span>* hint = 0</div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160; </div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;<span class="comment">    Evaluate unit tangent and curvature at a parameter with error checking.</span></div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;<span class="comment">    t - [in] evaluation parameter</span></div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160;<span class="comment">    point - [out] value of curve at t</span></div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;<span class="comment">    tangent - [out] value of unit tangent</span></div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;<span class="comment">    kappa - [out] value of curvature vector</span></div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;<span class="comment">    side - [in] optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;<span class="comment">                =0   default</span></div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;<span class="comment">                &lt;0   to evaluate from below, </span></div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160;<span class="comment">                &gt;0   to evaluate from above</span></div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;<span class="comment">    hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;<span class="comment">    false if unable to evaluate.</span></div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160;<span class="comment">    ON_Curve::CurvatureAt</span></div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;<span class="comment">    ON_Curve::Ev2Der</span></div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;<span class="comment">    ON_EvCurvature</span></div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;  ON_BOOL32 EvCurvature(</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;         <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; point,</div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; tangent,</div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;         <a class="code" href="class_o_n__3d_vector.html">ON_3dVector</a>&amp; kappa,</div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;         <span class="keywordtype">int</span> side = 0,</div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;         <span class="keywordtype">int</span>* hint = 0</div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160; </div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;<span class="comment">    This evaluator actually does all the work.  The other ON_Curve</span></div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;<span class="comment">    evaluation tools call this virtual function.</span></div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;<span class="comment">    t - [in] evaluation parameter ( usually in Domain() ).</span></div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;<span class="comment">    der_count - [in] (&gt;=0) number of derivatives to evaluate</span></div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;<span class="comment">    v_stride - [in] (&gt;=Dimension()) stride to use for the v[] array</span></div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;<span class="comment">    v - [out] array of length (der_count+1)*v_stride</span></div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160;<span class="comment">        curve(t) is returned in (v[0],...,v[m_dim-1]),</span></div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;<span class="comment">        curve&#39;(t) is retuned in (v[v_stride],...,v[v_stride+m_dim-1]),</span></div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;<span class="comment">        curve&quot;(t) is retuned in (v[2*v_stride],...,v[2*v_stride+m_dim-1]),</span></div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;<span class="comment">        etc.</span></div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;<span class="comment">    side - [in] optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;<span class="comment">                =0   default</span></div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;<span class="comment">                &lt;0   to evaluate from below, </span></div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;<span class="comment">                &gt;0   to evaluate from above</span></div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;<span class="comment">    hint - [in/out] optional evaluation hint used to speed repeated evaluations</span></div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;<span class="comment">    false if unable to evaluate.</span></div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160;<span class="comment">    ON_Curve::EvPoint</span></div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;<span class="comment">    ON_Curve::Ev1Der</span></div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;<span class="comment">    ON_Curve::Ev2Der</span></div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;  <span class="keyword">virtual</span> </div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;  ON_BOOL32 Evaluate(</div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;         <span class="keywordtype">int</span> der_count,</div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;         <span class="keywordtype">int</span> v_stride,</div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;         <span class="keywordtype">double</span>* v,</div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;         <span class="keywordtype">int</span> side = 0,</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;         <span class="keywordtype">int</span>* hint = 0</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;         ) <span class="keyword">const</span> = 0;</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160; </div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;  </div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;<span class="comment">    min_length -[in]</span></div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;<span class="comment">      minimum length of a linear span</span></div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;<span class="comment">    tolerance -[in]</span></div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;<span class="comment">      distance tolerance to use when checking linearity.</span></div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;<span class="comment">  Returns </span></div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160;<span class="comment">    true if the span is a non-degenrate line.  This means:</span></div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;<span class="comment">    - dimension = 2 or 3</span></div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;<span class="comment">    - The length of the the line segment from the span&#39;s initial </span></div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;<span class="comment">      point to the span&#39;s control point is &gt;= min_length.</span></div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;<span class="comment">    - The maximum distance from the line segment to the span</span></div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;<span class="comment">    is &lt;= tolerance and the span increases monotonically</span></div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;<span class="comment">    in the direction of the line segment.</span></div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;  <span class="keywordtype">bool</span> FirstSpanIsLinear( </div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;    <span class="keywordtype">double</span> min_length,</div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;    <span class="keywordtype">double</span> tolerance</div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160; </div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;  <span class="keywordtype">bool</span> LastSpanIsLinear( </div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;    <span class="keywordtype">double</span> min_length,</div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;    <span class="keywordtype">double</span> tolerance</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160; </div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;  <span class="keywordtype">bool</span> FirstSpanIsLinear( </div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;    <span class="keywordtype">double</span> min_length,</div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;    <span class="keywordtype">double</span> tolerance,</div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;    <a class="code" href="class_o_n___line.html">ON_Line</a>* span_line</div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160; </div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;  <span class="keywordtype">bool</span> LastSpanIsLinear( </div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;    <span class="keywordtype">double</span> min_length,</div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;    <span class="keywordtype">double</span> tolerance,</div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;    <a class="code" href="class_o_n___line.html">ON_Line</a>* span_line</div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160; </div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;  <span class="comment">//   Removes portions of the curve outside the specified interval.</span></div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;  <span class="comment">//   domain - [in] interval of the curve to keep.  Portions of the</span></div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;  <span class="comment">//      curve before curve(domain[0]) and after curve(domain[1]) are</span></div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;  <span class="comment">//      removed.</span></div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;  ON_BOOL32 Trim(</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;    );</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160; </div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160;  <span class="comment">//   Pure virtual function. Default returns false.</span></div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;  <span class="comment">//   Where possible, analytically extends curve to include domain.</span></div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;  <span class="comment">//   domain - [in] if domain is not included in curve domain, </span></div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160;  <span class="comment">//   curve will be extended so that its domain includes domain.  </span></div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;  <span class="comment">//   Will not work if curve is closed. Original curve is identical</span></div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160;  <span class="comment">//   to the restriction of the resulting curve to the original curve domain, </span></div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;  <span class="keywordtype">bool</span> Extend(</div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;    );</div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160; </div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160;<span class="comment">    Splits (divides) the curve at the specified parameter.  </span></div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;<span class="comment">    The parameter must be in the interior of the curve&#39;s domain.</span></div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;<span class="comment">    The pointers passed to Split must either be NULL or point to</span></div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;<span class="comment">    an ON_Curve object of the same type.  If the pointer is NULL,</span></div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;<span class="comment">    then a curve will be created in Split().  You may pass &quot;this&quot;</span></div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;<span class="comment">    as left_side or right_side.</span></div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;<span class="comment">    t - [in] parameter to split the curve at in the</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;<span class="comment">             interval returned by Domain().</span></div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;<span class="comment">    left_side - [out] left portion of curve returned here</span></div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;<span class="comment">    right_side - [out] right portion of curve returned here</span></div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;<span class="comment">    Returns:</span></div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;<span class="comment">        true    - The curve was split into two pieces.  </span></div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;<span class="comment">        false - The curve could not be split.  For example if the parameter is</span></div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160;<span class="comment">                        too close to an endpoint.</span></div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160;<span class="comment">  Example:</span></div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;<span class="comment">    For example, if crv were an ON_NurbsCurve, then</span></div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;<span class="comment">          ON_NurbsCurve right_side;</span></div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;<span class="comment">          crv.Split( crv.Domain().Mid() &amp;crv, &amp;right_side );</span></div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160;<span class="comment">    would split crv at the parametric midpoint, put the left side</span></div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;<span class="comment">    in crv, and return the right side in right_side.</span></div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160;  ON_BOOL32 Split(</div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;      <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160;      <a class="code" href="class_o_n___curve.html">ON_Curve</a>*&amp; left_side,</div>
<div class="line"><a name="l00960"></a><span class="lineno">  960</span>&#160;      <a class="code" href="class_o_n___curve.html">ON_Curve</a>*&amp; right_side</div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160; </div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;<span class="comment">    Get a NURBS curve representation of this curve.</span></div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;<span class="comment">    nurbs_curve - [out] NURBS representation returned here</span></div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when creating NURBS</span></div>
<div class="line"><a name="l00969"></a><span class="lineno">  969</span>&#160;<span class="comment">        representation.</span></div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;<span class="comment">    subdomain - [in] if not NULL, then the NURBS representation</span></div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;<span class="comment">        for this portion of the curve is returned.</span></div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00973"></a><span class="lineno">  973</span>&#160;<span class="comment">    0   unable to create NURBS representation</span></div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;<span class="comment">        with desired accuracy.</span></div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;<span class="comment">    1   success - returned NURBS parameterization</span></div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;<span class="comment">        matches the curve&#39;s to wthe desired accuracy</span></div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;<span class="comment">    2   success - returned NURBS point locus matches</span></div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;<span class="comment">        the curve&#39;s to the desired accuracy and the</span></div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;<span class="comment">        domain of the NURBS curve is correct.  On</span></div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;<span class="comment">        However, This curve&#39;s parameterization and</span></div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;<span class="comment">        the NURBS curve parameterization may not </span></div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160;<span class="comment">        match to the desired accuracy.  This situation</span></div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;<span class="comment">        happens when getting NURBS representations of</span></div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;<span class="comment">        curves that have a transendental parameterization</span></div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;<span class="comment">        like circles</span></div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;<span class="comment">    This is a low-level virtual function.  If you do not need</span></div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;<span class="comment">    the parameterization information provided by the return code,</span></div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;<span class="comment">    then ON_Curve::NurbsCurve may be easier to use.</span></div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;<span class="comment">    ON_Curve::NurbsCurve</span></div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;  <span class="keywordtype">int</span> GetNurbForm(</div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;        <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; nurbs_curve,</div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;        <span class="keywordtype">double</span> tolerance = 0.0,</div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* subdomain = NULL</div>
<div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;<span class="comment">    Does a NURBS curve representation of this curve.</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;<span class="comment">    0   unable to create NURBS representation</span></div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;<span class="comment">        with desired accuracy.</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="comment">    1   success - NURBS parameterization</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="comment">        matches the curve&#39;s to wthe desired accuracy</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;<span class="comment">    2   success - NURBS point locus matches</span></div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;<span class="comment">        the curve&#39;s and the</span></div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;<span class="comment">        domain of the NURBS curve is correct.  </span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="comment">        However, This curve&#39;s parameterization and</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="comment">        the NURBS curve parameterization may not </span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;<span class="comment">        match.  This situation</span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="comment">        happens when getting NURBS representations of</span></div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="comment">        curves that have a transendental parameterization</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="comment">        like circles</span></div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;<span class="comment">    This is a low-level virtual function.  </span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;<span class="comment">    ON_Curve::GetNurbForm</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;<span class="comment">    ON_Curve::NurbsCurve</span></div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;  <span class="keywordtype">int</span> HasNurbForm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160; </div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;<span class="comment">    Get a NURBS curve representation of this curve.</span></div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;<span class="comment">    pNurbsCurve - [in/out] if not NULL, this ON_NurbsCurve</span></div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;<span class="comment">    will be used to store the NURBS representation</span></div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;<span class="comment">    of the curve will be returned.</span></div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when creating NURBS</span></div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;<span class="comment">        representation.</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;<span class="comment">    subdomain - [in] if not NULL, then the NURBS representation</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;<span class="comment">        for this portion of the curve is returned.</span></div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160;<span class="comment">    NULL or a NURBS representation of the curve.</span></div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;<span class="comment">    See ON_Surface::GetNurbForm for important details about</span></div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;<span class="comment">    the NURBS surface parameterization.</span></div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;<span class="comment">    ON_Curve::GetNurbForm</span></div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* NurbsCurve(</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;        <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* pNurbsCurve = NULL,</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;        <span class="keywordtype">double</span> tolerance = 0.0,</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* subdomain = NULL</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160; </div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;  <span class="comment">//   Convert a NURBS curve parameter to a curve parameter</span></div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;  <span class="comment">//   nurbs_t - [in] nurbs form parameter</span></div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;  <span class="comment">//   curve_t - [out] curve parameter</span></div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;  <span class="comment">//   If GetNurbForm returns 2, this function converts the curve</span></div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;  <span class="comment">//   parameter to the NURBS curve parameter.</span></div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;  <span class="comment">//   ON_Curve::GetNurbForm, ON_Curve::GetNurbFormParameterFromCurveParameter</span></div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160;  ON_BOOL32 GetCurveParameterFromNurbFormParameter(</div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;        <span class="keywordtype">double</span> nurbs_t,</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;        <span class="keywordtype">double</span>* curve_t</div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160; </div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160;  <span class="comment">//   Convert a curve parameter to a NURBS curve parameter.</span></div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;  <span class="comment">//   curve_t - [in] curve parameter</span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;  <span class="comment">//   nurbs_t - [out] nurbs form parameter</span></div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;  <span class="comment">//   If GetNurbForm returns 2, this function converts the curve</span></div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;  <span class="comment">//   parameter to the NURBS curve parameter.</span></div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;  <span class="comment">//   ON_Curve::GetNurbForm, ON_Curve::GetCurveParameterFromNurbFormParameter</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;  <span class="keyword">virtual</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;  ON_BOOL32 GetNurbFormParameterFromCurveParameter(</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;        <span class="keywordtype">double</span> curve_t,</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;        <span class="keywordtype">double</span>* nurbs_t</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160; </div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160; </div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;  <span class="comment">//   Destroys the runtime curve tree used to speed closest</span></div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;  <span class="comment">//   point and intersection calcuations.</span></div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;  <span class="comment">//   If the geometry of the curve is modified in any way,</span></div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;  <span class="comment">//   then call DestroyCurveTree();  The curve tree is </span></div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;  <span class="comment">//   created as needed.</span></div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;  <span class="keywordtype">void</span> DestroyCurveTree();</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160; </div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160;<span class="comment">    Description:</span></div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160;<span class="comment">        Lookup a parameter in the m_t array, optionally using a built in snap tolerance to </span></div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160;<span class="comment">        snap a parameter value to an element of m_t.</span></div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>&#160;<span class="comment">        This function is used by some types derived from ON_Curve to snap parameter values</span></div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;<span class="comment">    Parameters:</span></div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;<span class="comment">        t           - [in]  parameter</span></div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;<span class="comment">        index -[out]    index into m_t such that</span></div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;<span class="comment">                                if function returns false then</span></div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;<span class="comment">                                   </span></div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;<span class="comment">                                     @table  </span></div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;<span class="comment">                                     value                  condition</span></div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;<span class="comment">                                    -1                                   t&lt;m_t[0] or m_t is empty               </span></div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;<span class="comment">                                        0&lt;=i&lt;=m_t.Count()-2     m_t[i] &lt; t &lt; m_t[i+1]           </span></div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160;<span class="comment">                                        m_t.Count()-1                   t&gt;m_t[ m_t.Count()-1]            </span></div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160;<span class="comment">                                    if the function returns true then t is equal to, or is closest to and </span></div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;<span class="comment">                                    within  tolerance of m_t[index]. </span></div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;<span class="comment">                                    </span></div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;<span class="comment">        bEnableSnap-[in] enable snapping </span></div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;<span class="comment">        m_t             -[in]   Array of parameter values to snap to</span></div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160;<span class="comment">        RelTol      -[in] tolerance used in snapping</span></div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;<span class="comment">    </span></div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160;<span class="comment">    Returns:        </span></div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;<span class="comment">        true if the t is exactly equal to (bEnableSnap==false), or within tolerance of</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160;<span class="comment">        (bEnableSnap==true) m_t[index]. </span></div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;  <span class="keywordtype">bool</span> ParameterSearch( <span class="keywordtype">double</span> t, <span class="keywordtype">int</span>&amp; index, <span class="keywordtype">bool</span> bEnableSnap, <span class="keyword">const</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;double&gt;</a>&amp; m_t, </div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;                                                            <span class="keywordtype">double</span> RelTol=ON_SQRT_EPSILON) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160; </div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;};</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160; </div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;<span class="preprocessor">#if defined(ON_DLL_TEMPLATE)</span></div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;<span class="comment">// This stuff is here because of a limitation in the way Microsoft</span></div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;<span class="comment">// handles templates and DLLs.  See Microsoft&#39;s knowledge base </span></div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;<span class="comment">// article ID Q168958 for details.</span></div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160;<span class="preprocessor">#pragma warning( push )</span></div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;<span class="preprocessor">#pragma warning( disable : 4231 )</span></div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;ON_DLL_TEMPLATE <span class="keyword">template</span> <span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Curve*&gt;</a>;</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;<span class="preprocessor">#pragma warning( pop )</span></div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160; </div>
<div class="line"><a name="l01143"></a><span class="lineno"><a class="line" href="class_o_n___curve_array.html"> 1143</a></span>&#160;<span class="keyword">class </span>ON_CLASS <a class="code" href="class_o_n___curve_array.html">ON_CurveArray</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Curve*&gt;</a></div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;{</div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;  <a class="code" href="class_o_n___curve_array.html">ON_CurveArray</a>( <span class="keywordtype">int</span> = 0 );</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;  ~<a class="code" href="class_o_n___curve_array.html">ON_CurveArray</a>(); <span class="comment">// deletes any non-NULL curves</span></div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160; </div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;  <span class="keywordtype">bool</span> Write( <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;  <span class="keywordtype">bool</span> Read( <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; );</div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160; </div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;  <span class="keywordtype">void</span> Destroy(); <span class="comment">// deletes curves, sets pointers to NULL, sets count to zero</span></div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160; </div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160;  <span class="keywordtype">bool</span> Duplicate( <a class="code" href="class_o_n___curve_array.html">ON_CurveArray</a>&amp; ) <span class="keyword">const</span>; <span class="comment">// operator= copies the pointer values</span></div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;                                          <span class="comment">// duplicate copies the curves themselves</span></div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160; </div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;<span class="comment">    Description:</span></div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;<span class="comment">    Get tight bounding box of the bezier.</span></div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;<span class="comment">    Parameters:</span></div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;<span class="comment">        tight_bbox - [in/out] tight bounding box</span></div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;<span class="comment">        bGrowBox -[in]  (default=false)         </span></div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;<span class="comment">      If true and the input tight_bbox is valid, then returned</span></div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;<span class="comment">      tight_bbox is the union of the input tight_bbox and the </span></div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;<span class="comment">      tight bounding box of the bezier curve.</span></div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160;<span class="comment">        xform -[in] (default=NULL)</span></div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;<span class="comment">      If not NULL, the tight bounding box of the transformed</span></div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>&#160;<span class="comment">      bezier is calculated.  The bezier curve is not modified.</span></div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>&#160;<span class="comment">    Returns:</span></div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>&#160;<span class="comment">    True if the returned tight_bbox is set to a valid </span></div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>&#160;<span class="comment">    bounding box.</span></div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>&#160;    <span class="keywordtype">bool</span> GetTightBoundingBox( </div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>&#160;            <a class="code" href="class_o_n___bounding_box.html">ON_BoundingBox</a>&amp; tight_bbox, </div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>&#160;      <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span>,</div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>* xform = 0</div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>&#160;};</div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>&#160; </div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>&#160;<span class="comment">  Trim a curve.</span></div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>&#160;<span class="comment">  curve - [in] curve to trim (not modified)</span></div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>&#160;<span class="comment">  trim_parameters - [in] trimming parameters</span></div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>&#160;<span class="comment">    If curve is open, then  trim_parameters must be an increasing </span></div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>&#160;<span class="comment">    interval.If curve is closed, and trim_parameters ins a </span></div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>&#160;<span class="comment">    decreasing interval, then the portion of the curve across the</span></div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>&#160;<span class="comment">    start/end is returned.</span></div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>&#160;<span class="comment">  trimmed curve or NULL if input is invalid.</span></div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>&#160;ON_DECL</div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>&#160;<a class="code" href="class_o_n___curve.html">ON_Curve</a>* ON_TrimCurve( </div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; curve,</div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span>&#160;            <a class="code" href="class_o_n___interval.html">ON_Interval</a> trim_parameters</div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span>&#160;            );</div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span>&#160; </div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>&#160;<span class="comment">  Move ends of curves to a common point. Neither curve can be closed or an ON_CurveProxy.</span></div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>&#160;<span class="comment">  If one is an arc or polycurve with arc at end to change, and the other is not, </span></div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>&#160;<span class="comment">  then the arc is left unchanged and the other curve is moved to the arc endpoint. </span></div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>&#160;<span class="comment">  Otherwise, both are moved to the midpoint of the segment between the ends.</span></div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>&#160;<span class="comment">  Crv0 - [in] first curve to modify.</span></div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>&#160;<span class="comment">         [out] with one endpoint possibly changed.</span></div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>&#160;<span class="comment">  end0 - [in] if 0, change start of Crv0.  Otherwise change end.</span></div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>&#160;<span class="comment">  Crv1 - [in] second curve to modify.</span></div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>&#160;<span class="comment">         [out] with one endpoint possibly changed.</span></div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>&#160;<span class="comment">  end1 - [in] if 0, change start of Crv1.  Otherwise change end.</span></div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>&#160;<span class="comment">  true if the endpoints match. Falsse otherwise,</span></div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>&#160;ON_DECL</div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>&#160;<span class="keywordtype">bool</span> ON_ForceMatchCurveEnds(</div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>&#160;                            <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; Crv0, </div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>&#160;                            <span class="keywordtype">int</span> end0, </div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>&#160;                            <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; Crv1, </div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>&#160;                            <span class="keywordtype">int</span> end1</div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>&#160;                            );</div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>&#160; </div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>&#160;<span class="comment">  Join all contiguous curves of an array of ON_Curves.</span></div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>&#160;<span class="comment">  InCurves - [in] Array of curves to be joined (not modified)</span></div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>&#160;<span class="comment">  OutCurves - [out] Resulting joined curves and copies of curves that were not joined to anything</span></div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>&#160;<span class="comment">                    are appended.</span></div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span>&#160;<span class="comment">  join_tol - [in] Distance tolerance used to decide if endpoints are close enough</span></div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>&#160;<span class="comment">  bPreserveDirection - [in] If true, curve endpoints will be compared to curve startpoints.</span></div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>&#160;<span class="comment">                            If false, all start and endpoints will be compared, and copies of input </span></div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>&#160;<span class="comment">                            curves may be reversed in output.</span></div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>&#160;<span class="comment">  key     -  [out] if key is not null, InCurves[i] was joined into OutCurves[key[i]].</span></div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>&#160;<span class="comment">  Number of curves added to Outcurves</span></div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>&#160;<span class="comment">Remarks:</span></div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>&#160;<span class="comment">  Closed curves are copied to OutCurves. </span></div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>&#160;<span class="comment">  Curves that cannot be joined to others are copied to OutCurves.  When curves are joined, the results</span></div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>&#160;<span class="comment">  are ON_PolyCurves. All members of InCurves must have same dimension, at most 3.</span></div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>&#160;ON_DECL</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>&#160;<span class="keywordtype">int</span> ON_JoinCurves(<span class="keyword">const</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;const ON_Curve*&gt;</a>&amp; InCurves,</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>&#160;                  <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Curve*&gt;</a>&amp; OutCurves,</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>&#160;                  <span class="keywordtype">double</span> join_tol,</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>&#160;                  <span class="keywordtype">bool</span> bPreserveDirection = <span class="keyword">false</span>,</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>&#160;                  <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>* key = 0</div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>&#160;                 );</div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>&#160; </div>
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>&#160; </div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>&#160;<span class="comment">  Sort a list of lines so they are geometrically continuous.</span></div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>&#160;<span class="comment">  line_count - [in] number of lines</span></div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>&#160;<span class="comment">  line_list  - [in] array of lines</span></div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>&#160;<span class="comment">  index       - [out] The input index[] is an array of line_count unused integers.</span></div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>&#160;<span class="comment">                      The returned index[] is a permutation of {0,1,...,line_count-1}</span></div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>&#160;<span class="comment">                      so that the list of lines is in end-to-end order.</span></div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>&#160;<span class="comment">  bReverse    - [out] The input bReverse[] is an array of line_count unused bools.</span></div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>&#160;<span class="comment">                      If the returned value of bReverse[j] is true, then</span></div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span>&#160;<span class="comment">                      line_list[index[j]] needs to be reversed.</span></div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>&#160;<span class="comment">  True if successful, false if not.</span></div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>&#160;ON_DECL</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>&#160;<span class="keywordtype">bool</span> ON_SortLines( </div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>&#160;        <span class="keywordtype">int</span> line_count, </div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___line.html">ON_Line</a>* line_list, </div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span>&#160;        <span class="keywordtype">int</span>* index, </div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span>&#160;        <span class="keywordtype">bool</span>* bReverse </div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>&#160;        );</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>&#160; </div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>&#160;<span class="comment">  Sort a list of lines so they are geometrically continuous.</span></div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>&#160;<span class="comment">  line_list  - [in] array of lines</span></div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>&#160;<span class="comment">  index       - [out] The input index[] is an array of line_count unused integers.</span></div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>&#160;<span class="comment">                      The returned index[] is a permutation of {0,1,...,line_count-1}</span></div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>&#160;<span class="comment">                      so that the list of lines is in end-to-end order.</span></div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span>&#160;<span class="comment">  bReverse    - [out] The input bReverse[] is an array of line_count unused bools.</span></div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>&#160;<span class="comment">                      If the returned value of bReverse[j] is true, then</span></div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span>&#160;<span class="comment">                      line_list[index[j]] needs to be reversed.</span></div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>&#160;<span class="comment">  True if successful, false if not.</span></div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span>&#160;ON_DECL</div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span>&#160;<span class="keywordtype">bool</span> ON_SortLines( </div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Line&gt;</a>&amp; line_list,</div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span>&#160;        <span class="keywordtype">int</span>* index, </div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span>&#160;        <span class="keywordtype">bool</span>* bReverse </div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>&#160;        );</div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>&#160; </div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>&#160;<span class="comment">  Sort a list of open curves so end of a curve matches the start of the next curve.</span></div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>&#160;<span class="comment">  curve_count - [in] number of curves</span></div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>&#160;<span class="comment">  curve_list  - [in] array of curve pointers</span></div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span>&#160;<span class="comment">  index       - [out] The input index[] is an array of curve_count unused integers.</span></div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>&#160;<span class="comment">                      The returned index[] is a permutation of {0,1,...,curve_count-1}</span></div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>&#160;<span class="comment">                      so that the list of curves is in end-to-end order.</span></div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>&#160;<span class="comment">  bReverse    - [out] The input bReverse[] is an array of curve_count unused bools.</span></div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>&#160;<span class="comment">                      If the returned value of bReverse[j] is true, then</span></div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>&#160;<span class="comment">                      curve_list[index[j]] needs to be reversed.</span></div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span>&#160;<span class="comment">  True if successful, false if not.</span></div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>&#160;ON_DECL</div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span>&#160;<span class="keywordtype">bool</span> ON_SortCurves(</div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span>&#160;          <span class="keywordtype">int</span> curve_count,</div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>* <span class="keyword">const</span>* curve_list, </div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span>&#160;          <span class="keywordtype">int</span>* index,</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span>&#160;          <span class="keywordtype">bool</span>* bReverse</div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span>&#160;          );</div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span>&#160; </div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span>&#160;<span class="comment">  Sort a list of curves so end of a curve matches the start of the next curve.</span></div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span>&#160;<span class="comment">  curve       - [in] array of curves to sort.  The curves themselves are not modified.</span></div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>&#160;<span class="comment">  index       - [out] The input index[] is an array of curve_count unused integers.</span></div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>&#160;<span class="comment">                      The returned index[] is a permutation of {0,1,...,curve_count-1}</span></div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>&#160;<span class="comment">                      so that the list of curves is in end-to-end order.</span></div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>&#160;<span class="comment">  bReverse    - [out] The input bReverse[] is an array of curve_count unused bools.</span></div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span>&#160;<span class="comment">                      If the returned value of bReverse[j] is true, then</span></div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>&#160;<span class="comment">                      curve[index[j]] needs to be reversed.</span></div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>&#160;<span class="comment">  True if successful, false if not.</span></div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>&#160;ON_DECL</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span>&#160;<span class="keywordtype">bool</span> ON_SortCurves( </div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>&#160;                   <span class="keyword">const</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;const ON_Curve*&gt;</a>&amp; curves, </div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>&#160;                   <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>&amp; index, </div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>&#160;                   <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;bool&gt;</a>&amp; bReverse </div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>&#160;                   );</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>&#160; </div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>&#160;<span class="comment">  Sort a list of curves so end of a curve matches the start of the next curve.</span></div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>&#160;<span class="comment">Parameters:</span></div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>&#160;<span class="comment">  curve_count - [in] number of curves</span></div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>&#160;<span class="comment">  curve       - [in] array of curve pointers</span></div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>&#160;<span class="comment">  index       - [out] The input index[] is an array of curve_count unused integers.</span></div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>&#160;<span class="comment">                      The returned index[] is a permutation of {0,1,...,curve_count-1}</span></div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span>&#160;<span class="comment">                      so that the list of curves is in end-to-end order.</span></div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span>&#160;<span class="comment">  bReverse    - [out] The input bReverse[] is an array of curve_count unused bools.</span></div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>&#160;<span class="comment">                      If the returned value of bReverse[j] is true, then</span></div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span>&#160;<span class="comment">                      curve[index[j]] needs to be reversed.</span></div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span>&#160;<span class="comment">  True if successful, false if not.</span></div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span>&#160;ON_DECL</div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span>&#160;<span class="keywordtype">bool</span> ON_SortCurves( </div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_Curve*&gt;</a>&amp; curves, </div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span>&#160;          <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;int&gt;</a>&amp; index, </div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span>&#160;          <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;bool&gt;</a>&amp; bReverse </div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>&#160;          );</div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>&#160; </div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span>&#160;<span class="comment">Description:</span></div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>&#160;<span class="comment">  Determine the orientaion (counterclockwise or clockwise) of a closed</span></div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>&#160;<span class="comment">  planar curve.</span></div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>&#160;<span class="comment">Paramters:</span></div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>&#160;<span class="comment">  curve - [in] simple (no self intersections) closed planar curve</span></div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>&#160;<span class="comment">  xform - [in] Transformation to map the curve to the xy plane. If the</span></div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>&#160;<span class="comment">               curve is parallel to the xy plane, you may pass NULL.</span></div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span>&#160;<span class="comment">Returns:</span></div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>&#160;<span class="comment">  +1: The curve&#39;s orientation is counter clockwise in the xy plane.</span></div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>&#160;<span class="comment">  -1: The curve&#39;s orientation is clockwise in the xy plane.</span></div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span>&#160;<span class="comment">   0: Unable to compute the curve&#39;s orientation.</span></div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>&#160;ON_DECL</div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>&#160;<span class="keywordtype">int</span> ON_ClosedCurveOrientation( <span class="keyword">const</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a>&amp; curve, <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>* xform );</div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span>&#160; </div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclass_o_n__3d_point_html"><div class="ttname"><a href="class_o_n__3d_point.html">ON_3dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:419</div></div>
<div class="ttc" id="aclass_o_n__3d_vector_html"><div class="ttname"><a href="class_o_n__3d_vector.html">ON_3dVector</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:953</div></div>
<div class="ttc" id="aclass_o_n___arc_html"><div class="ttname"><a href="class_o_n___arc.html">ON_Arc</a></div><div class="ttdef"><b>Definition:</b> opennurbs_arc.h:35</div></div>
<div class="ttc" id="aclass_o_n___binary_archive_html"><div class="ttname"><a href="class_o_n___binary_archive.html">ON_BinaryArchive</a></div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:732</div></div>
<div class="ttc" id="aclass_o_n___bounding_box_html"><div class="ttname"><a href="class_o_n___bounding_box.html">ON_BoundingBox</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bounding_box.h:26</div></div>
<div class="ttc" id="aclass_o_n___curve_array_html"><div class="ttname"><a href="class_o_n___curve_array.html">ON_CurveArray</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:1144</div></div>
<div class="ttc" id="aclass_o_n___curve_html"><div class="ttname"><a href="class_o_n___curve.html">ON_Curve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:89</div></div>
<div class="ttc" id="aclass_o_n___ellipse_html"><div class="ttname"><a href="class_o_n___ellipse.html">ON_Ellipse</a></div><div class="ttdef"><b>Definition:</b> opennurbs_ellipse.h:24</div></div>
<div class="ttc" id="aclass_o_n___geometry_html"><div class="ttname"><a href="class_o_n___geometry.html">ON_Geometry</a></div><div class="ttdef"><b>Definition:</b> opennurbs_geometry.h:37</div></div>
<div class="ttc" id="aclass_o_n___interval_html"><div class="ttname"><a href="class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:49</div></div>
<div class="ttc" id="aclass_o_n___line_html"><div class="ttname"><a href="class_o_n___line.html">ON_Line</a></div><div class="ttdef"><b>Definition:</b> opennurbs_line.h:21</div></div>
<div class="ttc" id="aclass_o_n___mesh_curve_parameters_html"><div class="ttname"><a href="class_o_n___mesh_curve_parameters.html">ON_MeshCurveParameters</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:38</div></div>
<div class="ttc" id="aclass_o_n___nurbs_curve_html"><div class="ttname"><a href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbscurve.h:30</div></div>
<div class="ttc" id="aclass_o_n___obj_ref_html"><div class="ttname"><a href="class_o_n___obj_ref.html">ON_ObjRef</a></div><div class="ttdef"><b>Definition:</b> opennurbs_objref.h:168</div></div>
<div class="ttc" id="aclass_o_n___plane_html"><div class="ttname"><a href="class_o_n___plane.html">ON_Plane</a></div><div class="ttdef"><b>Definition:</b> opennurbs_plane.h:21</div></div>
<div class="ttc" id="aclass_o_n___simple_array_html"><div class="ttname"><a href="class_o_n___simple_array.html">ON_SimpleArray&lt; ON_3dPoint &gt;</a></div></div>
<div class="ttc" id="aclass_o_n___xform_html"><div class="ttname"><a href="class_o_n___xform.html">ON_Xform</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:29</div></div>
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